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Finding the Third Proportional to 272,004 and 592,401

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Solution

The third proportional to 272,004 and 592,401 is: 1,290,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,004 : 592,401 = 592,401 : x
  2. Step 2: Convert to fraction form
    272,004/592,401 = 592,401/x
  3. Step 3: Cross multiply
    272,004x = 592,401 × 592,401
  4. Step 4: Simplify right side
    272,004x = 350,938,944,801
  5. Step 5: Solve for x
    x = 350,938,944,801/272,004
  6. Step 6: Final answer
    x = 1,290,197.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.